论 k 卢卡斯序列的卷积

Journal of Advances in Mathematics and Computer Science Pub Date : 2024-03-11 DOI:10.9734/jamcs/2024/v39i31877

Sergio Falcon

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摘要

本文以类似于 k-Fibonacci 序列迭代卷积的形式研究 k-Lucas 序列的迭代卷积 [1]。其中一个特殊情况是这些序列的自卷积。此外，在所有这些卷积序列的生成函数中，我们还发现了所得序列项之间的递推关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Convolution of the k-Lucas Sequences

In this paper, we study the iterated convolution of the k-Lucas sequences in a form similar to the iterated convolution of the k-Fibonacci sequences [1]. A particular case is for the self-convolution of these sequences. Moreover, the generating functions of all these convolved sequences, we find the recurrence relation between the terms of the resulting sequences.

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Journal of Advances in Mathematics and Computer Science

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